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arXiv · hep-th/0607065

Separability of multi-charge black holes in supergravity

Paul Davis
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Abstract

In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters and three charges admit separable solutions to the massless Hamilton-Jacobi and Klein-Gordon equations. This allows us to write down a conformal Killing tensor for the spacetime. Conformal Killing tensors obey an equation involving a co-vector field. We find this co-vector field in three specific examples, and also give a general formula for it.

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Paul Davis. 2006-10-23. Separability of multi-charge black holes in supergravity. https://doi.org/10.1088/0264-9381%2F23%2F23%2F014

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